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Finding the Third Proportional to 26,392 and 37,158

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Solution

The third proportional to 26,392 and 37,158 is: 52,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,392 : 37,158 = 37,158 : x
  2. Step 2: Convert to fraction form
    26,392/37,158 = 37,158/x
  3. Step 3: Cross multiply
    26,392x = 37,158 × 37,158
  4. Step 4: Simplify right side
    26,392x = 1,380,716,964
  5. Step 5: Solve for x
    x = 1,380,716,964/26,392
  6. Step 6: Final answer
    x = 52,315.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.